Hello snorkboggler,
I am surprised that your checklist calls for the Left and Right Bleed switches to be turned off during the shutdown check.
I fly the Lear 45XR and to the best of my knowlege the systems are the same as the Lear 40. The FAA Approved Flight Manual (AFM) does not call for the L/R Bleed Switches to be turned off in the Shutdown Check (see Shutdown section on page 2-23 of the AFM). Nor does it call for them to be turned off prior to start.
Checking of the L/R Bleed switches is done in item 16 of the Starting Engines Check on page 2-15 of the AFM, and only on the first flight of the day.
What does your AFM say regarding the L/R Bleed Switches on the Lear 40?
best regards,
Bruce Waddington